Math331-Ordinary Differential Equation, Spring, 2018
Course Information for All Sections

Course Chair:Jinguo Lian, lian@math.umass.edu.
 
Instructors and sections

Class Number Section Instructor Location Meeting Time
 17190 331.1  Jinguo Lian    MWF 10:10-11:00AM
 17191 331.2  Jinguo Lian    MWF 11:15-12:05PM
 17192 331.3  Maria Nikolaou

 

 TuTh   10:00-11:15AM
 17193 331.4  Maria Correia    TuTh   8:30-9:45AM
 17257 331.5  Maria Nikolaou    MWF 1:00-2:15PM
 17261 331.6   TBA    MWF 1:25-2:15PM
 17262 331.7  Pat Dragon    TuTh 2:30-3:45PM
 17268 331.8  Siddhant Govardhan    MWF 9:05-9:55AM
           

 

Course TA's:

The course TA's will hold office hours that are open to students from all sections of math 331 each week throughout the semester. Office hours will be held in HASA 228, not in the TAs' regular office. The TA's list and office hours  post here,

Monday: Xueying Yu 4-6pm, Jie Wang 5-6pm

Tuesday: Cory Ward 4-6pm, Xueying Yu 5-6pm

Wednesday: Joanthan Maack 4-6pm, Cory Ward 5-6pm

Thursday: Jie Wang 4-6pm, Joanthan Maack 5-6pm

TAs will run the office hours start from second week of the semester, Jan 29th

Syllabus: This course is an introduction to ordinary differential equations. The topics covered in this class are

Prerequisites: math 131, math 132

Text: Elementary Differential Equations, 11th Edition (2017) by William E. Boyce, Richard C. DiPrima, Douglas B. Meade

Add/Drop Procedure: If you need to add a section of math 331 that is presently closed, you should attend the first class meeting. Instructors of closed sections  will circulate a list you can add your name to together with other needed information (student number, e-mail and local phone and if relevant, other math course you intend to drop if added to this section.)  You should speak to the instructor after the class to discuss your situation and  the likelihood that you will be admitted to the section. Starting on Friday, Jan 26, I will ask all math331 instructors whose sections are closed on Spire to send me the list of students (along with above data) that they feel they have room for in their class. I will then submit requests for  Spire overrides for the students whose names are sent to me by the instructor of each closed section. Please note:

Text and online homework: We will use the textbook Elementary Differential Equations, 11th Edition (2017) by William E. Boyce, Richard C. DiPrima, Douglas B. Meade. An electronic copy of the textbook is integrated in the homework system Wiley-Plus that we will use for the class. When setting-up your account with Wiley plus there will be an option to purchase a hard copy of the book for a (small) extra-fee. 


 

 


Grading and Exams There will be one midterm exam (worth 30% of your grade) common to all sections and a final exam (worth 30% of your grade) common to all sections. Online Homework (30%) are assigned weekly and done on WileyPLUS. Four sets written homework (10%) are listed.

            1. Midterm practice questions

            2. Step and Impulse Functions Homework

            3. Systems Homework

            4. Final practice questions

 


Weekly Schedule

The following is meant to give a general idea of which sections are covered in which weeks and may be adjusted as needed. All the sections will be covered. 
As a general principle the material in a given week will be subject of the homework due the week after to leave you time to review the material. 

 

Week Lecture Event
1/22 1.1, 1.2, and 1.3 Introduction The first class starts on Monday 1/22
1/29 2.1 Linear ODEs
2.2 Separable ODEs
 

2/5

2.3 Modelling with ODEs 
2.5 Autonomous equations
Monday 2/5 last day to add/drop
2/12 2.4, 2.7, and 2.8 Theory and Euler methods
2.6 Exact equations
 
2/19 3.1 2nd order equations with constant coefficients 
3.2 Theory 
 
2/26 3.3 Complex roots 
3.4 Repeated roots
Midterm on Thursday 2/22, 7-9pm
3/5 3.5 Nonhomogeneous ODEs
3.7 Mechanical and Electrical oscillations
Wednesday 3/7 is last day drop with "W"
3/12

 

Spring Recess
3/19

3.8 Forced oscillations
6.1 Laplace transform

 
3/26

6.2 Initial value problems 
6.3 Step functions

 
4/2

6.4 Discontinuous forcing
6.5 Impulse functions

 
4/9

7.1 Introduction to systems

 
4/16

7.2--7.3 Matrices
7.4 Theory

Monday is Holiday; Tuesday=Monday
4/23

7.5 Real eigenvalues 
7.6 Complex eigenvalues

 
4/30

Review

Tuesday 5/1 is last day of classes
5/7

Final Exam

 5/4/2018, 10:30am-12:30pm
5/14 Grades Final Grade is due by Tuesday 5/15